Browsing Mathematics (Faculty of) by Title
Now showing items 847-866 of 2993
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Ehrhart Theory and Unimodular Decompositions of Lattice Polytopes
(University of Waterloo, 2015-01-20)Ehrhart theory studies the behaviour of lattice points contained in dilates of lattice polytopes. We provide an introduction to Ehrhart theory. In particular, we prove Ehrhart's Theorem, Stanley Non-negativity, and ... -
Eigenvalue, Quadratic Programming and Semidefinite Programming Bounds for Graph Partitioning Problems
(University of Waterloo, 2014-09-03)The Graph Partitioning problems are hard combinatorial optimization problems. We are interested in both lower bounds and upper bounds. We introduce several methods including basic eigenvalue and projected eigenvalue ... -
Elasca: Workload-Aware Elastic Scalability for Partition Based Database Systems
(University of Waterloo, 2013-05-14)Providing the ability to increase or decrease allocated resources on demand as the transactional load varies is essential for database management systems (DBMS) deployed on today's computing platforms, such as the cloud. ... -
Elements of Gameful Design Emerging from User Preferences
(Association for Computing Machinery, 2017-10-15)Several studies have developed models to explain player preferences. These models have been developed for digital games; however, they have been frequently applied in gameful design (i.e., designing non-game applications ... -
Elliptic Curves over Finite Fields and their l-Torsion Galois Representations
(University of Waterloo, 2015-09-08)Let $q$ and $\ell$ be distinct primes. Given an elliptic curve $E$ over $\mathbf{F}_q$, we study the behaviour of the 2-dimensional Galois representation of $\mathrm{Gal}(\overline{\mathbf{F}_q}/\mathbf{F}_q) \cong ... -
An Embedded Shading Language
(University of Waterloo, 2004)Modern graphics accelerators have embedded programmable components in the form of vertex and fragment shading units. Current APIs permit specification of the programs for these components using an assembly-language level ... -
Embroidery Modelling and Rendering
(University of Waterloo, 2011-08-03)Embroidery is a traditional non-photorealistic art form in which threads of different colours stitched into a base material are used to create an image. This thesis presents techniques for automatically producing embroidery ... -
Emergence and Implications of Conservation Opinion Propagation in Dynamic Coupled Socio-Ecological Systems
(University of Waterloo, 2021-04-22)Human behaviour is rarely a static phenomenon. In life, individuals are presented with choices that define the trajectories they will experience days, weeks or months later. As an example consider farmer decision-making ... -
Emergence and spread of drug resistant influenza: A two-population game theoretical model
(Elsevier, 2016-10-01)Background The potential for emergence of antiviral drug resistance during influenza pandemics has raised great concern for public health. Widespread use of antiviral drugs is a significant factor in producing resistant ... -
Emotion-Aware and Human-Like Autonomous Agents
(University of Waterloo, 2019-12-20)In human-computer interaction (HCI), one of the technological goals is to build human-like artificial agents that can think, decide and behave like humans during the interaction. A prime example is a dialogue system, where ... -
Emotions and Context in Decision-making for a Socially Intelligent Agent
(University of Waterloo, 2024-04-03)Artificial intelligence (AI) research has largely focused on rational thinking, decision making, goal achievement, and reward maximization. Emotions have been considered nonessential, or even detrimental, when designing ... -
An Empirical Evaluation of the Viability of the Serverless Paradigm for Scientific Workflows
(University of Waterloo, 2023-12-22)Scientific workflows are typically data-intensive. They consist of many stages, each of which may contain hundreds to even thousands of tasks. Traditionally, scientific workflows have been executed using the serverful ... -
Empirical Game Theoretic Models for Autonomous Driving: Methods and Applications
(University of Waterloo, 2022-09-16)In recent years, there has been enormous public interest in autonomous vehicles (AV), with more than 80 billion dollars invested in self-driving car technology. However, for the foreseeable future, self-driving cars will ... -
An Empirical Investigation to Understand the Difficulties and Challenges of Software Modellers When Using Modelling Tools
(ACM, 2018-10)Software modelling is a challenging and error-prone task. Existing Model-Driven Engineering (MDE) tools provide modellers with little aid, partly because tool providers have not investigated users' difficulties through ... -
Empirical Likelihood and Bootstrap Inference with Constraints
(University of Waterloo, 2017-01-18)Empirical likelihood and the bootstrap play influential roles in contemporary statistics. This thesis studies two distinct statistical inference problems, referred to as Part I and Part II, related to the empirical ... -
Empirical Likelihood Inference for Two-Sample Problems
(University of Waterloo, 2010-09-30)In this thesis, we are interested in empirical likelihood (EL) methods for two-sample problems, with focus on the difference of the two population means. A weighted empirical likelihood method (WEL) for two-sample problems ... -
Empirical Likelihood Method for Ratio Estimation
(University of Waterloo, 2011-03-17)Empirical likelihood, which was pioneered by Thomas and Grunkemeier (1975) and Owen (1988), is a powerful nonparametric method of statistical inference that has been widely used in the statistical literature. In this ... -
Empirical Likelihood Methods for Pretest-Posttest Studies
(University of Waterloo, 2015-01-21)Pretest-posttest trials are an important and popular method to assess treatment effects in many scientific fields. In a pretest-posttest study, subjects are randomized into two groups: treatment and control. Before the ... -
Empirical Likelihood Methods for Some Incomplete Data Problems
(University of Waterloo, 2020-12-18)Incomplete data often brings difficulty to estimations and inferences. A complete case (CC) analysis, in most cases, leads to biased estimates, or it may not have the desired estimation efficiency. In this thesis, we develop ... -
Empirical Likelihood Quantile Regression for Right-Censored Data
(University of Waterloo, 2018-12-17)Quantile estimation of time-to-event data plays a key role in many medical applications, especially conditional on covariates of interest. In such settings, bias due to model misspecification is an important concern. As ...